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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the identity element for usual addition on real numbers?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhat is the identity element for usual multiplication on real numbers?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsFor (a*b=a+b) on real numbers, which statement about associativity is correct?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsOn real numbers, (a*b=ab+1). Does it have an identity element?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsOn real numbers, (a*b=a+b+1). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsIf (a*b=a-b) is defined on real numbers, which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x}), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsChoose the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x), what is a valid reason for (f) being onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x), what is the correct reason for (f) being onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsWhy is (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt{x}), not onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsWhich statement is correct for \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\)?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsLet (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x). Which statement about onto nature of (f) is correct?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b), when will (f) be onto?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsIs (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3+1), onto?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=\lfloor x\rfloor), is not onto becauseClass 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=x^3\), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), what is the correct statement?Class 12Relations and FunctionsOnto functionLevel 25Medium